The maximum and minimum of hours for which plane will travel is 1.375 hours and 0.875 hour respectively.
The speed of plane : 200 miles per hour
As per the variation, the distance covered by plane is calculated as follows -
Maximum distance covered = 225 + 50
Maximum distance covered = 275 miles
Minimum distance covered = 225 - 50
Minimum distance covered = 175 miles
As per the known fact, speed, distance and time are related as follows -
Speed = distance ÷ time
Rearranging the formula for time -
Time = distance ÷ speed
Maximum time will be taken by plane in covering maximum distance. Similarly, plane will take minimum time when covering minimum distance as calculated above.
So, maximum time = 275 ÷ 200
Maximum time = 1.375 hours
Minimum time = 175 ÷ 200
Minimum time = 0.875 hours
Hence, plane will travel for maximum 1.375 hours and minimum 0.875 hours at mentioned speed.
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